Finding the Third Proportional to 12,082 and 19,338

Step by Step Solution

1. Step 1: Write the proportion equation
   12,082 : 19,338 = 19,338 : x
2. Step 2: Convert to fraction form
   12,082/19,338 = 19,338/x
3. Step 3: Cross multiply
   12,082x = 19,338 × 19,338
4. Step 4: Simplify right side
   12,082x = 373,958,244
5. Step 5: Solve for x
   x = 373,958,244/12,082
6. Step 6: Final answer
   x = 30,951.68